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We present a generalized method to describe the x-ray scattering intensity of the Bragg spots in a diffraction pattern from nanocrystals exposed to intense x-ray pulses. Our method involves the subdivision of a crystal into smaller units.…

Atomic and Molecular Clusters · Physics 2017-08-24 Malik Muhammad Abdullah , Zoltan Jurek , Sang-Kil Son , Robin Santra

Diffuse scattering is a rich source of information about disorder in crystalline materials, which can be modelled using atomistic techniques such as Monte Carlo and molecular dynamics simulations. Modern X-ray and neutron scattering…

Materials Science · Physics 2018-12-21 Joseph A. M. Paddison

We demonstrate the use of the Fast Fourier Transform Beam Propagation Method (FFT BPM) to simulate dynamic diffraction effects, including scattering from deformed crystals with arbitrary shapes in Bragg, Laue, and asymmetric geometries. The…

Optics · Physics 2026-01-13 Jacek Krzywinski , Aliaksei Halavanau

Scattering by an isolated defect embedded in a dielectric medium of two dimensional periodicity is of interest in many sub-fields of electrodynamics. Present approaches to compute this scattering rely either on the Born approximation and…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Kuljit S. Virk

Electromagnetic scattering on a sphere is one of the most fundamental problems, which has a closed form analytical solution in the form of Mie series. Being initially formulated for a plane incident wave, the formalism can be extended to…

Optics · Physics 2021-06-11 Yuval Kashtera , Eran Falek , Pavel Ginzburg

We present a direct and simple method for the computation of the total scattering matrix of an arbitrary finite noncompact connected quantum graph given its metric structure and local scattering data at each vertex. The method is inspired…

Mathematical Physics · Physics 2010-01-06 V. Caudrelier , E. Ragoucy

Electron diffraction through a thin patterned silicon membrane can be used to create complex spatial modulations in electron distributions by varying the intensity of different reflections using parameters such as crystallographic…

Accelerator Physics · Physics 2019-05-30 L. E. Malin , W. S. Graves , M. Holl , J. C. H. Spence , E. A. Nanni , R. K. Li , X. Shen , S. Weathersby

Unique intensity features arising from dynamical diffraction arise in coherent x-ray nanobeam diffraction patterns of crystals having thicknesses larger than the x-ray extinction depth or exhibiting combinations of nanoscale and mesoscale…

Materials Science · Physics 2020-02-27 A. Pateras , J. Park , Y. Ahn , J. A. Tilka , M. V. Holt , H. Kim , L. J. Mawst , P. G. Evans

We show that the symmetries of image formation by scattering enable graph-theoretic manifold-embedding techniques to extract structural and timing information from simulated and experimental snapshots at extremely low signal. The approach…

Computational Physics · Physics 2011-09-27 Peter Schwander , Chun Hong Yoon , Abbas Ourmazd , Dimitrios Giannakis

Bragg scattering with linearly polarized light can be used to separately measure the density and the spin structure factor of a two spin component atomic gas by looking at the dependance of the scattering intensity on the polarization of…

Statistical Mechanics · Physics 2009-11-11 Iacopo Carusotto

The fragmentation description is used to analyse calculated neutron scattering intensities from kagom\'e ice and spin ice systems. The longitudinal, transverse and harmonic fragments produce independent contributions to the neutron…

Strongly Correlated Electrons · Physics 2023-06-21 F. Museur , E. Lhotel , P. C. W. Holdsworth

We numerically calculate the reliability with which one can optically determine the presence or absence of an individual scatterer in a randomly occupied 3D array of well-localized, coherently radiating scatterers. The reliability depends…

Atomic Physics · Physics 2009-11-13 Birjoo Vaishnav , David S. Weiss

I describe a mathematical framework for the efficient processing of the very large sets of Feynman diagrams contributing to the scattering of many particles. I reexpress the established numerical methods for the recursive construction of…

High Energy Physics - Phenomenology · Physics 2023-07-21 Thorsten Ohl

In this paper we consider scattering resonance computations in optics when the resonators consist of frequency dependent and lossy materials, such as metals at optical frequencies. The proposed computational approach combines a novel…

Numerical Analysis · Mathematics 2020-12-24 Juan C. Araujo-Cabarcas , Carmen Campos , Christian Engström , Jose E. Roman

We present a new approach for simulating x-ray nanobeam Bragg coherent diffraction patterns based on the Takagi-Taupin equations. Compared to conventional methods, the current approach can be universally applied to any weakly strained…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 T. Zhou , M. J. Cherukara , S. Kandel , M. Allain , N. Hua , O. Shpyrko , Y. Takamura , Z. Cai , S. O. Hruszkewycz , M. V. Holt

Visualization of internal deformation fields in crystalline materials helps bridge the gap between theoretical models and practical applications. Applying Bragg coherent diffraction imaging under X-ray dynamical diffraction conditions…

Applied Physics · Physics 2025-12-29 Longlong Wu , David Yang , Wei Wang , Shinjae Yoo , Ross J. Harder , Wonsuk Cha , Aiguo Li , Ian K. Robinson

The numerically stable evaluation of scattering matrix elements near the infrared limit of gauge theories is of great importance for the success of collider physics experiments. We present a novel algorithm that utilizes double precision…

High Energy Physics - Phenomenology · Physics 2024-10-04 Enrico Bothmann , John M. Campbell , Stefan Höche , Max Knobbe

The NCrystal library provides a range of models for simulation of both elastic and inelastic scattering of thermal neutrons in a range of material structures. This article presents the available models for elastic scattering, and includes…

Computational Physics · Physics 2021-07-28 Thomas Kittelmann , Xiao-Xiao Cai

We provide a computational method for quickly determining the correct distribution of optically active nanoparticles for a desired response. This is achieved by simulating the optical response of single nanoparticles and performing a…

Optics · Physics 2019-01-03 Phillip Manley , Min Song , Sven Burger , Martina Schmid

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contain some isolated substructures, is introduced. Based on this approach, the differential cross section for scattering…

High Energy Physics - Theory · Physics 2025-09-16 V. D. Omelchenko
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